Converting cubic centimeters to cubic meters (cm3 to m3) is a common volume unit conversion. Converting centimeters to meters is a straightforward exercise. All too often, people stumble when arranging their centimeters in a cube. These two example problems show the best way to convert cm^{3} to m^{3} and back again.

The conversion factor between cm^{3} to m^{3} is

(100 cm)^{3} = 1 m^{3}

1,000,000 cm^{3} = 1 m^{3}

or

10^{6} cm^{3} = 1 m^{3}

### Cubic Centimeters to Cubic Meters Dimensional Analysis

How do you get that? Start with the conversion from cm to m.

100 cm = 1 m

A cubic meter is a cube 1 meter wide, 1 meter deep and 1 meter tall.

1 m^{3} = 1 m x 1 m x 1 m

Substitute the conversion factor for meter to centimeter

1 m^{3} = (100 cm) x (100 cm) x (100 cm)

1 m^{3} = 1,000,000 cm^{3} = 10^{6} cm^{3}

### cm^{3} to m^{3} Conversion Example Problem

Q: How many cubic meters are in 250,000 cubic centimeters?

Multiply the conversion factor to the 250,000 cm^{3}. Put the unit you want to be canceled out in the denominator.

This arrangement allows us to cancel out the unnecessary units, leaving only the unit we want.

0.25 m^{3} = x m^{3}

Answer: 250,000 cm^{3} is equal to 0.25 m^{3}.

### m^{3} to cm^{3} Conversion Example Problem

Q: How many cubic centimeters are in 5 cubic meters?

Multiply the conversion factor to the 5 m^{3}. Put the unit you want to be canceled out in the denominator.

This setup allows us to cancel out the unneeded m^{3} units.

5 x 10^{6} cm^{3} = x cm^{3}

A: There are 5 x 10^{6} (5 million) cubic centimeters in 5 cubic meters.